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1010222212221 = 32172372532101
BaseRepresentation
bin11101011001101011110…
…11111010010001111101
310120120120010022121110200
432230311323322101331
5113022413341242341
62052031211554113
7132662151060015
oct16546573722175
93516503277420
101010222212221
1135a484114272
1214395545b939
1374357019621
1436c75cd0c45
151b428db9db6
hexeb35efa47d

1010222212221 has 162 divisors, whose sum is σ = 1639824402762. Its totient is φ = 599105894400.

The previous prime is 1010222212189. The next prime is 1010222212249. The reversal of 1010222212221 is 1222122220101.

It is a happy number.

1010222212221 is a `hidden beast` number, since 1 + 0 + 10 + 222 + 212 + 221 = 666.

It can be written as a sum of positive squares in 27 ways, for example, as 8951808996 + 1001270403225 = 94614^2 + 1000635^2 .

It is not a de Polignac number, because 1010222212221 - 25 = 1010222212189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010222212194 and 1010222212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010222212621) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 10002200071 + ... + 10002200171.

Almost surely, 21010222212221 is an apocalyptic number.

It is an amenable number.

1010222212221 is a deficient number, since it is larger than the sum of its proper divisors (629602190541).

1010222212221 is a wasteful number, since it uses less digits than its factorization.

1010222212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1010222212221 its reverse (1222122220101), we get a palindrome (2232344432322).

The spelling of 1010222212221 in words is "one trillion, ten billion, two hundred twenty-two million, two hundred twelve thousand, two hundred twenty-one".